Step-by-step explanation:
We can check the points to find out the rule. Let's see for y first:
Points A and B have a y-value of 6 and the dialated points P and Q have a y-value of 2, which is one third of the y-value for A and B.
For points C and D, the y-value is -6 and the y-values of the images R and S are -2.
For the x-value there's the same relationship. For A it's -9 while for P (its image) is -3.
Therefore, for all points of polygon ABCDEF their images PQRSTU have one third of the values for each coordinate:
Answer:
The answer is option C. (1/3x, 1/3y)